RMO MP Region Open Problem Solving Dicussion

Hey guys, following is the paper that appeared in the RMO in MP. Feel free to post solutions to whatever problem you are able to solve to help those in need. Thanks. PS : Sorry for the small image, it was not coming out large when I posted it.

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

@Harsh Shrivastava Can you help me with the fourth.

Utkarsh Dwivedi - 4 years, 8 months ago

Sorry bro I suck at combinatorics so can't help :(

Harsh Shrivastava - 4 years, 8 months ago

No problem,what do you think the cut off should be judging by the difficulty of the paper. Was is tough?

Utkarsh Dwivedi - 4 years, 7 months ago

How many perfect solutions do I need to qualify?

Utkarsh Dwivedi - 4 years, 7 months ago

@Satvik Golechha @Daniel Liu Help needed with the fourth one.

Utkarsh Dwivedi - 4 years, 7 months ago

lmao but it was all scam!!!!!!!!!

Dhairy Agrawal - 3 years, 4 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$